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On the finite $W$-algebra for the Lie superalgebra Q(N) in the non-regular case

Published 26 May 2017 in math.RT | (1705.10200v1)

Abstract: In this paper we study the finite W-algebra for the queer Lie superalgebra Q(n) associated with the non-regular even nilpotent coadjoint orbits in the case when the corresponding nilpotent element has Jordan blocks each of size l. We prove that this finite W-algebra is isomorphic to a quotient of the super-Yangian of Q({n/l})

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